Answer:
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Step-by-step explanation:
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Answer:
a)0.7
b) 10.03
c) 0.0801
Step-by-step explanation:
Rate of return Probability
9.5 0.1
9.8 0.2
10 0.3
10.2 0.3
10.6 0.1
a.
P(Rate of return is at least 10%)=P(R=10)+P(R=10.2)+P(R=10.6)
P(Rate of return is at least 10%)=0.3+0.3+0.1
P(Rate of return is at least 10%)=0.7
b)
Expected rate of return=E(x)=sum(x*p(x))
Rate of return(x) Probability(p(x)) x*p(x)
9.5 0.1 0.95
9.8 0.2 1.96
10 0.3 3
10.2 0.3 3.06
10.6 0.1 1.06
Expected rate of return=E(x)=sum(x*p(x))
Expected rate of return=0.95+1.96+3+3.06+1.06=10.03
c)
variance of the rate of return=V(x)=
Rate of return(x) Probability(p(x)) x*p(x) x²*p(x)
9.5 0.1 0.95 9.025
9.8 0.2 1.96 19.208
10 0.3 3 30
10.2 0.3 3.06 31.212
10.6 0.1 1.06 11.236
sum[x²*p(x)]=9.025+19.208+30+31.212+11.236=100.681
variance of the rate of return=V(x)=sum(x²*p(x))-[sum(x*p(x))]²
variance of the rate of return=V(x)=100.681-(10.03)²
variance of the rate of return=V(x)=100.681-100.6009
variance of the rate of return=V(x)=0.0801
Answer:
(D) Pie chart
Step-by-step explanation:
The most appropriate method to represent the resulting data is the pie chart. This is because, in this sample, the variables are few and of nominal type.
Of the rest of the options, the only other that could be used is the histogram, since it can represent nominal variables with their corresponding frequency. The rest of the options have other uses not appropriate for this type of sample.
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Answer:
Step-by-step explanation:
Let d represent the number of dimes Molly has. Then she has 18-d nickels, and the total value (in cents) of her coins is ...
5(18 -d) +10d = 105
5d +90 = 105 . . . . . . simplify
5d = 15 . . . . . . . . . . . subtract 90
d = 3 . . . . . . . . divide by 5; number of dimes
18-d = 15 . . . . . number of nickels
Molly has 3 dimes and 15 nickels.
(9*2)+(x*2)=48
18+2x=48
2x=30
x=15